the perimeter of a rectangular swimming pool is 188m. it's length is 4m more than twice it's breadth. what are the length and breadth of the pool?
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Let the breadth be 'x'
Length = 4 + 2x
Now perimeter of a rectangle = 2(l + b)
2(l + b) = 1882 ( 4 + 2x + x) = 1882 ( 4 + 3x) = 1884 + 3x = 943x = 90x = 30 m
Required breadth = 30 mLength = 4 + 2 x 30 = 64 m
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Length = 4 + 2x
Now perimeter of a rectangle = 2(l + b)
2(l + b) = 1882 ( 4 + 2x + x) = 1882 ( 4 + 3x) = 1884 + 3x = 943x = 90x = 30 m
Required breadth = 30 mLength = 4 + 2 x 30 = 64 m
Hope This Helps You!
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Answered by
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Given :
Perimeter of a rectangular swimming pool = 188m
Length is 4m more than twice it's breadth
To Find :
Length and Breadth of the swimming pool
Solution :
Let the length of the pool = L
,and the breadth of the pool = B
According to question :
Its length is 4 m more than twice its breadth
L = 2B + 4
Now, for a rectangle, the perimeter, P, is equal to :
P = 2L + 2B
Substituting value of L in P we get :
P = 2(2B+4) + 2B
P = 6B + 8
P = 188m
188 = 6B + 8
6B = 180
B = 30m
L = 2B + 4
L = 64m
Thus its length is 64m and its breadth is 30m.
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